Answer:
Answer:
3
×
3
×
4
×
2
=
72
Explanation:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
Answer:
<h2>3x + 21 = 6x - 60
</h2>
Step-by-step explanation:
parallel angles are equal
3x + 21 = 6x - 60
combine similar terms:
3x - 6x = -60 - 21
-3x = -81
x = 81/3
x = 27
now, plugin the value of x=27 back into the equation to get the angle:
= 3x + 21
= 3(27) + 21
= 102
= 6x - 60
= 6(27) - 60
= 102
as you noticed, both values are equal 102 = 102 because its a parallel angles
so the equation is 3x + 21 = 6x - 60
================================
i am pretty sure its correct.
2t+5v=37 and 4t+3v=39
Solve the first for t
t=18.5-2.5v and use this t in the second equation...
4(18.5-2.5v)+3v=39
74-10v+3v=39
-7v=-35
v=$5.00 and since t=18.5-2.5v
t=$6.00
So tuna sandwiches cost $6.00 and vegetarian sandwiches cost $5.00.
Answer:
x > -99/4
Step-by-step explanation:
I must assume that you meant (-2/5)x -9<9/10.
This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:
10(-2/5)x - 10(9) < 10(9/10), or:
-4x - 90 < 9
Adding 90 to both sides results in:
-4x < 99
Here we must divide by a negative number (that is, by -4). This requires reversing the direction of the inequality sign:
x > -99/4 is the final solution.
